Foundations of~algebraic $K$-theory
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 31 (1976) no. 4, pp. 89-156

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The fundamental concepts of (general) algebraic $K$-theory are expounded and it is proved that the higher $K$-functors of Volodin, Quillen, Swan and Gersten are the same.
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     title = {Foundations of~algebraic $K$-theory},
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L. N. Vaserstein. Foundations of~algebraic $K$-theory. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 31 (1976) no. 4, pp. 89-156. http://geodesic.mathdoc.fr/item/RM_1976_31_4_a3/